D-brane instantons on non-Spin cycles

Berglund, Per; García-Etxebarria, Iñaki

doi:10.1007/jhep01(2013)056

Cited by 16 publications

(21 citation statements)

References 20 publications

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“…where the −χ/6 contribution comes from the O-plane with χ(D b ) = 117 and χ(D s ) = 3. 16 This condition can be relaxed when the non-perturbative effect is given by a rank-two E3-instanton [27].…”

Section: The Other D7-stacksmentioning

confidence: 99%

D3/D7 branes at singularities: constraints from global embedding and moduli stabilisation

Cicoli

Krippendorf²,

Mayrhofer

et al. 2013

J. High Energ. Phys.

110

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In the framework of type IIB string compactifications on Calabi-Yau orientifolds we describe how to construct consistent global embeddings of models with fractional D3-branes and connected 'flavour' D7-branes at del Pezzo singularities with moduli stabilisation. Our results are applied to build an explicit compact example with a left-right symmetric model at a dP 0 singularity which features three families of chiral matter and gauge coupling unification at the intermediate scale. We show how to stabilise the moduli obtaining a controlled de Sitter minimum and spontaneous supersymmetry breaking. We find an interesting non-trivial dynamical relation between the requirement of TeV-scale soft terms and the correct phenomenological values of the unified gauge coupling and unification scale.

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Section: The Other D7-stacksmentioning

confidence: 99%

D3/D7 branes at singularities: constraints from global embedding and moduli stabilisation

Cicoli

Krippendorf²,

Mayrhofer

et al. 2013

J. High Energ. Phys.

110

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“…A possible way-out could be to focus on rank-2 U (1) instantons[37] 9. In LVS models where the visible sector is supported by a del Pezzo divisor, this geometric modulus can be fixed by either D-terms of string loop effects[40].…”

mentioning

confidence: 99%

N-flation with hierarchically light axions in string compactifications

Cicoli¹,

Dutta²,

Maharana³

2014

J. Cosmol. Astropart. Phys.

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We propose a possible embedding of axionic N -flation in type IIB string compactifications where most of the Kähler moduli are stabilised by perturbative effects, and so are hierarchically heavier than the corresponding N ≫ 1 axions whose collective dynamics drives inflation. This is achieved in the framework of the LARGE Volume Scenario for moduli stabilisation. Our set-up can be used to realise a model of either large field inflation or quintessence, just by varying the volume of the internal space which controls the scale of the axionic potential. Both cases predict a very high scale of supersymmetry breaking. A fully explicit stringy embedding of N -flation would require control over dangerous back-reaction effects due to a large number of species. A viable reheating of the Standard Model degrees of freedom can be achieved after the end of inflation due to the perturbative decay of the N light axions which drive inflation.2 See however [14,15] for different proposals to embed N -flation in string theory. 3 Note that there is also a generic tension between large field inflationary models and dS entropy bounds [16].11 See [38] for some explicit CY examples whose volume form looks qualitatively like (4.1).

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“…A priori there are rank one instantons contributing to the superpotential originating from D 1 and D 2 . However, if we choose the B-field along D 2 to be zero and one-half along D 1 this prevents rankone instantons on D 2 while still allowing rank-one instantons on D 1 [81]. Hence, the leading contribution to the non-perturbative superpotential from D 2 are rank-two instantons and β = c a 2 a 1 = 2c .…”

Section: Four D7 Brane and Rank-two Instantonsmentioning

confidence: 99%

De Sitter vacua from a D-term generated racetrack potential in hypersurface Calabi-Yau compactifications

Braun

Rummel

Sumitomo

et al. 2015

J. High Energ. Phys.

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In [1] a mechanism to fix the closed string moduli in a de Sitter minimum was proposed: a D-term potential generates a linear relation between the volumes of two rigid divisors which in turn produces at lower energies a race-track potential with de Sitter minima at exponentially large volume. In this paper, we systematically search for implementations of this mechanism among all toric Calabi-Yau hypersurfaces with h 1,1 ≤ 4 from the Kreuzer-Skarke list. For these, topological data can be computed explicitly allowing us to find the subset of three-folds which have two rigid toric divisors that do not intersect each other and that are orthogonal to h 1,1 − 2 independent four-cycles. These manifolds allow to find D7-brane configurations compatible with the de Sitter uplift mechanism and we find an abundance of consistent choices of D7-brane fluxes inducing D-terms leading to a de Sitter minimum. Finally, we work out a couple of models in detail, checking the global consistency conditions and computing the value of the potential at the minimum.

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D-brane instantons on non-Spin cycles

Cited by 16 publications

References 20 publications

D3/D7 branes at singularities: constraints from global embedding and moduli stabilisation

D3/D7 branes at singularities: constraints from global embedding and moduli stabilisation

N-flation with hierarchically light axions in string compactifications

De Sitter vacua from a D-term generated racetrack potential in hypersurface Calabi-Yau compactifications

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